二维非紧致θ托里奥群的 Bott-Chern 和 Aeppli 上同调
On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups
Osaka Metropolitan University（大阪公立大学）
AI总结：
本文研究了二维非紧致θ托里奥群的Bott-Chern和Aeppli上同调，揭示了其与复流形相似的上同调性质。
摘要：
托里奥群是复流形的推广，由复欧几里得空间 $\mathbb{C}^n$ 与离散子群的商得到。具有有限维上同调的托里奥群，称为θ托里奥群，其行为类似于复流形。我们计算了二维非紧致θ托里奥群的Bott-Chern和Aeppli上同调。
英文摘要：
A toroidal group is a generalization of a complex torus, and is obtained as the quotient of the complex Euclidean space $\mathbb{C}^n$ by a discrete subgroup. Toroidal groups with finite-dimensional cohomology, called theta toroidal groups, are known to exhibit behavior analogous to that of complex tori. We compute Bott--Chern and Aeppli cohomologies for two-dimensional non-compact theta toroidal groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
